Information on Result #612638
Linear OA(447, 16390, F4, 9) (dual of [16390, 16343, 10]-code), using construction X applied to C([0,4]) ⊂ C([1,4]) based on
- linear OA(443, 16385, F4, 9) (dual of [16385, 16342, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(442, 16385, F4, 4) (dual of [16385, 16343, 5]-code), using the narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(44, 5, F4, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,4)), using
- dual of repetition code with length 5 [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(447, 10186, F4, 2, 9) (dual of [(10186, 2), 20325, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(447, 10186, F4, 3, 9) (dual of [(10186, 3), 30511, 10]-NRT-code) | [i] | ||
| 3 | Digital (38, 47, 10186)-net over F4 | [i] | ||